Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160o |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
131384025000000 = 26 · 310 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17877,-736396] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:360:1] |
Generators of the group modulo torsion |
j |
13542540101056/2816015625 |
j-invariant |
L |
7.571087985876 |
L(r)(E,1)/r! |
Ω |
0.4189320187969 |
Real period |
R |
2.2590443736198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997700956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160bf1 42720f1 |
Quadratic twists by: -4 -3 |